The Green Mountain Songster had a version called 'Charley's Escape'. See Flanders 'Ancient Ballads sung in New England' Vol.3 p234. As for the American oral versions the most likely scenario is all 3 scenarios have occurred, Some from the 1680 version via oral tradition; Some from oral tradition carried over; and some from the American and English printed versions. I have them all mapped out and will check when I've finished minutely examining the printed versions.